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Springer Proceedings in Mathematics & Statistics

Clifford Analysis and Related Topics

In Honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17

Editors: Cerejeiras, P., Nolder, C.A., Ryan, J., Vanegas Espinoza, C.J. (Eds.)

  • Highlights new developments in the main directions of Clifford analysis
  • Offers new perspectives and outlines current trends for researchers interested in or working on these topics
  • Theoretical contributions were written by leading experts in the field, while contributions of an expository nature were written for persons working in these areas and are easily accessible for non-specialists
  • Commemorates the work of Paul Dirac
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-030-00049-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-030-00047-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book, intended to commemorate the work of Paul Dirac, highlights new developments in the main directions of Clifford analysis. Just as complex analysis is based on the algebra of the complex numbers, Clifford analysis is based on the geometric Clifford algebras. Many methods and theorems from complex analysis generalize to higher dimensions in various ways. However, many new features emerge in the process, and much of this work is still in its infancy.

Some of the leading mathematicians working in this field have contributed to this book in conjunction with “Clifford Analysis and Related Topics: a conference in honor of Paul A.M. Dirac,” which was held at Florida State University, Tallahassee, on December 15-17, 2014. The content reflects talks given at the conference, as well as contributions from mathematicians who were invited but were unable to attend. Hence much of the mathematics presented here is not only highly topical, but also cannot be found elsewhere in print. Given its scope, the book will be of interest to mathematicians and physicists working in these areas, as well as students seeking to catch up on the latest developments.

Table of contents (9 chapters)

  • Lambda-Harmonic Functions: An Expository Account

    Ballenger-Fazzone, K. (et al.)

    Pages 1-17

  • Some Applications of Parabolic Dirac Operators to the Instationary Navier-Stokes Problem on Conformally Flat Cylinders and Tori in $$\mathbb {R}^3$$

    Cerejeiras, P. (et al.)

    Pages 19-37

  • From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds

    Cerejeiras, P. (et al.)

    Pages 39-51

  • On Some Conformally Invariant Operators in Euclidean Space

    Ding, C. (et al.)

    Pages 53-72

  • Notions of Regularity for Functions of a Split-Quaternionic Variable

    Emanuello, J. A. (et al.)

    Pages 73-96

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-030-00049-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-030-00047-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Clifford Analysis and Related Topics
Book Subtitle
In Honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17
Editors
  • Paula Cerejeiras
  • Craig A. Nolder
  • John Ryan
  • Carmen Judith Vanegas Espinoza
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
260
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-00049-3
DOI
10.1007/978-3-030-00049-3
Hardcover ISBN
978-3-030-00047-9
Series ISSN
2194-1009
Edition Number
1
Number of Pages
VII, 152
Topics